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Study on Lorentzian para-Kenmotsu manifold with $k$-almost Yamabe solitons
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The focus of this article is to explore the concepts of $k$-almost Yamabe and gradient $k$-almost Yamabe solitons on three-dimensional Lorentzian para-Kenmotsu manifolds, with the aim of providing a comprehensive analysis.
Abstract
The focus of this article is to explore the concepts of $k$-almost Yamabe and gradient $k$-almost Yamabe solitons on three-dimensional Lorentzian para-Kenmotsu manifolds, with the aim of providing a comprehensive analysis.
참고문헌 (9)
- X. Cui, "The k-almost Yamabe solitons and contact metric manifolds", Rocky Mountain J. Math, 51(1), pp.125~137 (2021)[DOI]
- K. De, "k-almost Yamabe solitons on Kenmotsu manifolds", Honam Math. J, 43(1), pp.115~122 (2021)
- K. De, "δ-almost Yamabe solitons in paracontact metric manifolds", Mediterr. J. Math, 18(5), pp.11~ (2021)[DOI]
- R. S. Hamilton, "The Ricci flow on surfaces, Mathematics and General Relativity (Santa Cruz, CA, 1986)", Contemp. Math, 71, pp.237~262 (1988), Amer. Math. Soc[DOI]
- Pankaj, "Three-dimensional Lorentzian para-Kenmotsu manifolds and Yamabe solitons", Honam Math. J, 43(4), pp.613~626 (2021)
- R. Sharma, "A 3-dimensional Sasakian metric as a Yamabe soliton", Int. J. Geom. Methods Mod. Phys, 9(4), pp.5~ (2012)[DOI]
- Y. Tashiro, "Complete Riemannian manifolds and some vector fields", Trans. Amer. Math. Soc, 117, pp.251~275 (1965)[DOI]
- K. Yano, "Integral Formulas in Riemannian Geometry" (1970), Marcel Dekker, Inc
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